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Hi do u helo with tests?
Hi do u helo with tests?
Demonstrate DeMorgans Laws using a Venn diagram. 1.Draw
Demonstrate DeMorgan’s Laws using a Venn diagram.
1.Draw a Venn diagram showing the elements of sets A, B, and the universe for all 4 regions.
2.Draw a second diagram showing only the elements of the complement of set A.
3.Draw a third diagram showing only the elements of the complement of set B.
4.Draw a fourth diagram showing the union of steps 2 and 3 for the first DeMorgan's law or the intersection of steps 2 and 3 for the second DeMorgan's law.
5.Draw a fifth diagram showing the elements of the intersection of sets A and B for the first DeMorgan's law or the union of sets A and B for the second DeMorgan's law.
6.Finally, draw the last diagram showing the complement of step 5. Compare the results from step 4 against those in step 6 to prove both DeMorgan's laws. In the absence of data elements, you can use 4 different colors to clearly indicate the regions of the universe and follow all of the steps.
Part II
Define two propositions (simple statements that can be either true or false). Give a realworld example of 2 propositions that r and s can represent. Call them r and s. Create a truth table that shows all values of the following:
Proposition
Definition
Your example explained
r
s
¬ r
¬s
r ∧ s
¬ r v s
r ∧ ¬s
Interpret the columns of the truth table for those proposition examples. Interpret the operations on the propositions and the values in the table based on the operations and the values of r and s.
1.) Coal is carried from mine in VA to a power plant in NY
1.) Coal is carried from mine in VA to a power plant in NY in hopper cars on a long train. The automatic hopper car loader is set up to put 36 tons of coal in each car. The actual weights of coal loaded into each car are normally distributed with a mean (u=36) tons and a standard deviation (.8 tons). ( the u is suppose to be the mean sign and there isn't a standard deviation sign on my phone)
A) What is the probability that ONE car choose at random will have less than 35.5 tons of coal?
B) What is the probability that 20 card chooses at random will have a mean load weight (x bar) less than 35.5 tons of coal?
C) Suppose the weight of coal in one car was less than 35.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Suppose the weight of coal in 20 cars deleted at random had an average of (x bar) less than 35.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why?
2.) To be licensed as a practical nurse, one must make a score in the top 30% on the licensing exam. The mean score of all students taking the exam is 79 with a standard deviation of 9 points and the scores are given in whole number values. What is the least score a student can make and be considered in the top 30%?
3.) A certain company makes light fixtures on an assembly line. An efficiency expert wants to determine the mean time it takes an employee to assemble the switch on one of these fixtures. A preliminary study used a random sample of 45 observations and found that the sample standard deviation was s=78 seconds. How many more observations are necessary for the efficiency expert to be 95% sure that the point estimate (x bar) will be in the error from the true mean (u) by at most 15 seconds?
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